Subscriptions in Detail are managed through the App Store and connected to your App Store account. If you have an active Pro subscription, tap the "Go Pro"-button and use the "Restore" button at the bottom of the purchase screen. When you tap "Restore", we'll check for an active subscription for your current account in the App Store.
Even if you're logged in with a Detail account, you need to restore your active App Store subscription on the upgrade screen.
You can also use the "Restore" button on the upgrade screen to use your active subscription on multiple devices, as long as you're logged in with the same App Store account.
Detail for iOS and Detail Studio for macOS are two different products and have different subscriptions.